TSTP Solution File: RNG006-2 by ConnectPP---0.2.2
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- Process Solution
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% File : ConnectPP---0.2.2
% Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:17:39 EST 2024
% Result : Unsatisfiable 10.89s 11.07s
% Output : Proof 10.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Mar 3 22:28:24 EST 2024
% 0.12/0.33 % CPUTime :
% 10.89/11.07 % SZS status Unsatisfiable for theBenchmark
% 10.89/11.07 % SZS output start Proof for theBenchmark
% 10.89/11.07
% 10.89/11.07 % Problem matrix:
% 10.89/11.07 cnf(matrix-0, plain, ( ~equalish(X, Y) | equalish(additive_inverse(X), additive_inverse(Y)) )).
% 10.89/11.07 cnf(matrix-1, plain, ( ~equalish(X, Y) | equalish(add(X, W), add(Y, W)) )).
% 10.89/11.07 cnf(matrix-2, plain, ( ~equalish(X, Y) | ~sum(X, W, Z) | sum(Y, W, Z) )).
% 10.89/11.07 cnf(matrix-3, plain, ( ~equalish(X, Y) | ~sum(W, X, Z) | sum(W, Y, Z) )).
% 10.89/11.07 cnf(matrix-4, plain, ( ~equalish(X, Y) | ~sum(W, Z, X) | sum(W, Z, Y) )).
% 10.89/11.07 cnf(matrix-5, plain, ( ~equalish(X, Y) | equalish(multiply(X, W), multiply(Y, W)) )).
% 10.89/11.07 cnf(matrix-6, plain, ( ~equalish(X, Y) | ~product(X, W, Z) | product(Y, W, Z) )).
% 10.89/11.07 cnf(matrix-7, plain, ( ~equalish(X, Y) | ~product(W, X, Z) | product(W, Y, Z) )).
% 10.89/11.07 cnf(matrix-8, plain, ( ~equalish(X, Y) | ~product(W, Z, X) | product(W, Z, Y) )).
% 10.89/11.07 cnf(matrix-9, plain, ( sum(additive_identity, X, X) )).
% 10.89/11.07 cnf(matrix-10, plain, ( sum(X, additive_identity, X) )).
% 10.89/11.07 cnf(matrix-11, plain, ( product(X, Y, multiply(X, Y)) )).
% 10.89/11.07 cnf(matrix-12, plain, ( sum(X, Y, add(X, Y)) )).
% 10.89/11.07 cnf(matrix-13, plain, ( sum(additive_inverse(X), X, additive_identity) )).
% 10.89/11.07 cnf(matrix-14, plain, ( sum(X, additive_inverse(X), additive_identity) )).
% 10.89/11.07 cnf(matrix-15, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) | sum(X, V, W) )).
% 10.89/11.07 cnf(matrix-16, plain, ( ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) | sum(U, Z, W) )).
% 10.89/11.07 cnf(matrix-17, plain, ( ~sum(X, Y, Z) | sum(Y, X, Z) )).
% 10.89/11.07 cnf(matrix-18, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 10.89/11.07 cnf(matrix-19, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 10.89/11.07 cnf(matrix-20, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~product(X, V3, V4) | sum(V1, V2, V4) )).
% 10.89/11.07 cnf(matrix-21, plain, ( ~product(X, Y, V1) | ~product(X, Z, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(X, V3, V4) )).
% 10.89/11.07 cnf(matrix-22, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~product(V3, X, V4) | sum(V1, V2, V4) )).
% 10.89/11.07 cnf(matrix-23, plain, ( ~product(Y, X, V1) | ~product(Z, X, V2) | ~sum(Y, Z, V3) | ~sum(V1, V2, V4) | product(V3, X, V4) )).
% 10.89/11.07 cnf(matrix-24, plain, ( ~sum(X, Y, U) | ~sum(X, Y, V) | equalish(U, V) )).
% 10.89/11.07 cnf(matrix-25, plain, ( ~product(X, Y, U) | ~product(X, Y, V) | equalish(U, V) )).
% 10.89/11.07 cnf(matrix-26, plain, ( product(additive_identity, X, additive_identity) )).
% 10.89/11.07 cnf(matrix-27, plain, ( product(X, additive_identity, additive_identity) )).
% 10.89/11.07 cnf(matrix-28, plain, ( ~product(A, B, C) | product(A, additive_inverse(B), additive_inverse(C)) )).
% 10.89/11.07 cnf(matrix-29, plain, ( ~product(A, B, C) | product(additive_inverse(A), B, additive_inverse(C)) )).
% 10.89/11.07 cnf(matrix-30, plain, ( ~product(A, B, C) | product(additive_inverse(A), additive_inverse(B), C) )).
% 10.89/11.07 cnf(matrix-31, plain, ( sum(b, additive_inverse(c), bS_Ic) )).
% 10.89/11.07 cnf(matrix-32, plain, ( product(a, b, aPb) )).
% 10.89/11.07 cnf(matrix-33, plain, ( product(a, c, aPc) )).
% 10.89/11.07 cnf(matrix-34, plain, ( sum(aPb, additive_inverse(aPc), aPb_S_IaPc) )).
% 10.89/11.07 cnf(matrix-35, plain, ( ~product(a, bS_Ic, aPb_S_IaPc) )).
% 10.89/11.07
% 10.89/11.07 % Proof stack:
% 10.89/11.07 cnf(proof-stack, plain,
% 10.89/11.07 proof_stack(
% 10.89/11.07 start(35),
% 10.89/11.07 left_branch(0, 21, 4, 2),
% 10.89/11.07 left_branch(0, 32, 0, 3),
% 10.89/11.07 right_branch(3),
% 10.89/11.07 left_branch(0, 34, 0, 4),
% 10.89/11.07 right_branch(4),
% 10.89/11.07 left_branch(0, 31, 0, 5),
% 10.89/11.07 right_branch(5),
% 10.89/11.07 left_branch(0, 28, 1, 6),
% 10.89/11.07 left_branch(0, 33, 0, 7),
% 10.89/11.07 right_branch(7),
% 10.89/11.07 right_branch(6),
% 10.89/11.07 right_branch(2)
% 10.89/11.07 )).
% 10.89/11.07 % SZS output end Proof for theBenchmark
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